12152735795200 has 1152 divisors, whose sum is σ = 41152116096000. Its totient is φ = 3436373606400.

The previous prime is 12152735795183. The next prime is 12152735795257. The reversal of 12152735795200 is 259753725121.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3023818791 + ... + 3023822809.

It is an arithmetic number, because the mean of its divisors is an integer number (35722323000).

Almost surely, 2^{12152735795200} is an apocalyptic number.

12152735795200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12152735795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20576058048000).

12152735795200 is an abundant number, since it is smaller than the sum of its proper divisors (28999380300800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12152735795200 is a wasteful number, since it uses less digits than its factorization.

12152735795200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4141 (or 4116 counting only the distinct ones).

The product of its (nonzero) digits is 1323000, while the sum is 49.

The spelling of 12152735795200 in words is "twelve trillion, one hundred fifty-two billion, seven hundred thirty-five million, seven hundred ninety-five thousand, two hundred".